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List of Illustrations
- Hong Kong University Press, HKU
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List ofIllustrations 1. An illustration of space as described in (a) the ‘exposition' section of the Mò, ]ïng >. 131 39. The vertical ‘height‘ Ho of sun and the assumed plane of the earth surface in the Chén zr model. 132 40. The derivation of the gõu,gU 勾股 theorem by the jï,ju 積矩 method of Shãng Gão 商高 136 41. The derivation of the gõu,gU proportionality by the jï,ju method of Shãng Gão. 138 42. The proof of the Chén zr formula by the jιju method. 139 43. The Zhào Shuãng 趙爽 proof of the chór嗨,chã 重差 height formula by the jï,ju 積矩 method. 143 44. The right, angled triangle relationship among the sun, the moon, and the earth at half, moon as visualized by Aristarchus. 160 45. The geometrical relationship among the sun, the moon, and the earth at a lunar eclipse as visualized by Aristarchus. 160 46. The four ceremonial pottery vessels with incised glyphs unearthed in 1959 from the Oáwénk凸u 大汶口 cultural stratum (c. -2500) at Língyá峙,h丘陵陽河 in j首莒 county in Shãndδng 山東 164 47. Fragment of a Babylonian planisphere (c. -1200). 167 48. The reconstructed diagram of the Babylonian planisphere by Schott (1934). 168 49. A copy of the astronomical diagram with names of the 28χiù written clockwise in an oval ring encircling the character 0加斗, Ursa Major unearthed in 1978 in H泊在i 湖北 from the tomb ofMarquis Yr 乙 ofthe Zëng 曾 State dated to the -5th century. 170 50. The identification of the names of the 28 xíù in the seal form in the -5th century astronomical diagram with those in the present form. 171 51. Oesigns from the front and back of a wooden chest unearthed in 1978 in Húb主i from the tomb of Marquis Yr of Zëng, dated to the -5th century, and the astronomical diagram from its cover. 172 [3.236.145.110] Project MUSE (2024-03-29 02:21 GMT) List of Illustrations xv 52. Image of ló月龍 (dragon) and hu 虎 (tiger) along the sides of a human body excavated in 1987 from the Y這ngsháo 仰韶 cultural stratum (c. -5000) at Púyáng ?僕陽 in Hénán 河南 173 日. A comparison of the arrangement of the images of a dragon and a tiger from the tomb of the Yãngsháo culture (c. -5000) with that in an astronomical diagram from the tomb ofMarquis Yr (-433). 174 54. A snake, like mythical animal painted on a fl泣,bottomed amphora of the lateY主ngsháo culture (c. -3000) unearthed in 1958 at W益,shãn 武山 in Gãnsù 甘肅 174 55. A copy of an ivory engraving unearthed in 1977 from the third Hémudù 河姆渡 cultural stratum (c. -6000) near Yúyáo 餘姚 inZl這jiãng 漸江 175 56. A shell, bone inscription which mentions the 'Bird Star' (Niao χïng 烏星). 175 57. The binary pattern of production processes in the tài, jí 太極 model for the processes of nature. 200 58. The 2n binary expansion pattern generated by the dà,yan 大衍 procedure for consulting the 阱,jí model. 202 59. The triangular tabulation ofbinomial coefficients reproduced from Yáng HuI's 楊輝 χiáng}ie Jiu, Zhãng Sl的n,Fa <<詳解九章算法)) (A Detailed Analysis of the Mathematical Methods in the Nine Chapters) of 1261, copied from ch. 16344 of the Yðng μ Dà,Dian <<永樂大 典)) of 1407. 206 60. A 1437 replica of the original jidn,yí 簡儀 devised by GuδSh仙,Jìng 郭守敬 in 1276, the earliest known astronomical instrument with an equatorial mounting. 238 ...